GCD of 987, 561, 756, 927 Calculator

Given Input numbers are 987, 561, 756, 927

In the factoring method, we have to find the divisors of all numbers

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 927 :

The positive integer divisors of 927 that completely divides 927 are.

1, 3, 9, 103, 309, 927

GCD of numbers is the greatest common divisor

So, the GCD (987, 561, 756, 927) = 3.

Given numbers are 987, 561, 756, 927

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 561 are 3 x 11 x 17

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 927 are 3 x 3 x 103

The highest common occurrence is 3¹

Therefore, GCD of 987, 561, 756, 927 is 3.

Given numbers are 987, 561, 756, 927

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(987, 561) = 184569

GCD(987, 561) = ( 987 x 561 ) / 184569

= 987 / 561

= 987

Step2:

LCM(3, 756) = 756

GCD(3, 756) = ( 3 x 756 ) / 756

= 3 / 756

= 3

Step3:

LCM(3, 927) = 927

GCD(3, 927) = ( 3 x 927 ) / 927

= 3 / 927

= 3

So, Greatest Common Divisor of 987, 561, 756, 927 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 506, 779, 562
• GCD of 450, 907, 110, 994
• GCD of 775, 850, 752, 288
• GCD of 498, 298, 822, 444
• GCD of 554, 805, 765, 335

Given numbers are 987, 561, 756, 927
The greatest common divisor of numbers 987, 561, 756, 927 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 561, 756, 927 is 3.

1. What is the GCD of 987, 561, 756, 927?

GCD of given numbers 987, 561, 756, 927 is 3

2. How to calculate the greatest common divisor of 987, 561, 756, 927?

We can find the highest common divisor of 987, 561, 756, 927 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 987, 561, 756, 927 i.e 3.

3. How can I use the GCD of 987, 561, 756, 927Calculator?

Out the numbers 987, 561, 756, 927 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.